The properties of the regression of standard length on the length of the exopodit of the uropod of
Euphausia superba as a method to estimate the distribution of the standard length from penguin stomach contents samples are explored. The distance
between the estimated and observed distributions was measured with the Kolmogorov–Smirnov statistic. Sample variability was
determined using resampling techniques. The ability of linear functions (Models I and II), allometric and non-parametric methods
to recover the observed distributions was evaluated within samples and exchanging parameters between samples. Linear and allometric
models proved inadequate to recover the distribution, while the differences obtained with non-parametric methods fall within
the bounds of sample variability, suggesting that a linear equation does not capture the relation between total and exopodit
length. The use of a non-parametric regression is recommended to increase the sample size when estimating the distributions
of prey lengths in the stomach contents of Antarctic penguins.
Keywords Prey size distributions - Proxy measurements - Krill - Penguins - Regression